DOAJ Open Access 2025

Optimal Hölder Regularity for Discontinuous Sub-Elliptic Systems Structured on Hörmander’s Vector Fields

Dongni Liao Jialin Wang

Abstrak

This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions. By a new <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">A</mi></semantics></math></inline-formula>-harmonic approximation reformulation for bilinear forms <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">A</mi><mo>∈</mo><mi>Bil</mi><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mrow><mi>k</mi><mi>N</mi></mrow></msup><mo>,</mo><msup><mi mathvariant="double-struck">R</mi><mrow><mi>k</mi><mi>N</mi></mrow></msup><mo>)</mo></mrow></semantics></math></inline-formula>, we obtain optimal partial Hölder continuity with exact exponents for weak solutions with vanishing mean oscillation coefficients.

Topik & Kata Kunci

Mathematics

Penulis (2)

Dongni Liao

Jialin Wang

Format Sitasi

APA MLA BibTeX

Liao, D., Wang, J. (2025). Optimal Hölder Regularity for Discontinuous Sub-Elliptic Systems Structured on Hörmander’s Vector Fields. https://doi.org/10.3390/axioms14100761

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.3390/axioms14100761
Akses: Open Access ✓